A researcher develops a model to predict the number of hours someone will sleep based on the number of cups of coffee they drink during the day. The model is given by the equation y=8−0.5x, where y represents the number of hours of sleep, and x represents the number of cups of coffee consumed. How many hours of sleep should someone expect if they drink 4 cups of coffee during the day?(2 points)

Question

Responses

6.5 hours
6.5 hours

7 hours
7 hours

6 hours
6 hours

7.5 hours

Answer 1

To find the expected number of hours of sleep when someone drinks 4 cups of coffee, we can plug \( x = 4 \) into the model \( y = 8 - 0.5x \):

\[ y = 8 - 0.5(4) \] \[ y = 8 - 2 \] \[ y = 6 \]

So, if someone drinks 4 cups of coffee during the day, they should expect to sleep 6 hours.